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Finding the Fourth Proportional to 2,229.27, 3,344.22 and 768.03

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Solution

The fourth proportional to 2,229.27, 3,344.22 and 768.03 is: 1,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.27 : 3,344.22 = 768.03 : x
  2. Step 2: Convert to fraction form
    2,229.27/3,344.22 = 768.03/x
  3. Step 3: Cross multiply
    2,229.27x = 3,344.22 × 768.03
  4. Step 4: Simplify right side
    2,229.27x = 2,568,461.29
  5. Step 5: Solve for x
    x = 2,568,461.29/2,229.27
  6. Step 6: Final answer
    x = 1,152.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.